If the sum of a number and its square is 182, what is the number ?
A. 15
B. 26
C. 28
D. 91
E. None of these
Answer: Option E
Solution(By Examveda Team)
Let the number be xThen,
$$\eqalign{ & \Leftrightarrow x + {x^2} = 182 \cr & \Leftrightarrow {x^2} + x - 182 = 0 \cr & \Leftrightarrow \left( {x + 14} \right)\left( {x - 13} \right) = 0 \cr & \Leftrightarrow x = 13 \cr} $$
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Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
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=x+x²=182
=X(1+1²)=182
=2x=182
=X=182/2
=X=91
Is it wrong?